Numerical Analysis of Transient Temperature Response of Soap Film

Numerical Analysis of Transient Temperature Response of Soap Film

Measurements of thermophysical properties of thin liquid films are important to understand interfacial phenomena due to film structures composed of amphiphilic molecules in soap film, phospholipid bilayer of biological cell and emulsion. A transient hot-wire technique for liquid films less than 1 μ...

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Bibliographic Details
Published in:International journal of thermophysics Vol. 36; no. 10-11; pp. 2609 - 2620
Main Authors: Tanaka, Seiichi, Tatesaku, Akihiro, Dantsuka, Yuki, Fujiwara, Seiji, Kunimine, Kanji
Format: Journal Article
Language:English
Published: New York Springer US 01-11-2015
Subjects:
Classical Mechanics
Condensed Matter Physics
Cylinders
Diffusivity
Heat transfer
Industrial Chemistry/Chemical Engineering
Liquid films
Mathematical analysis
Mathematical models
Physical Chemistry
Physics
Physics and Astronomy
Soap films
Thermal conductivity
Numerical simulation
Thermal conductivity
Thermal diffusivity
Amphiphilic molecules
Transient hot wire
Liquid thin film
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Summary:Measurements of thermophysical properties of thin liquid films are important to understand interfacial phenomena due to film structures composed of amphiphilic molecules in soap film, phospholipid bilayer of biological cell and emulsion. A transient hot-wire technique for liquid films less than 1 μ m thick such as soap film has been proposed to measure the thermal conductivity and diffusivity simultaneously. Two-dimensional heat conduction equations for a solid cylinder with a liquid film have been solved numerically. The temperature of a thin wire with liquid film increases steeply with its own heat generation. The feasibility of this technique is verified through numerical experiments for various thermal conductivities, diffusivities, and film thicknesses. Calculated results indicate that the increase in the volumetric average temperature of the thin wire sufficiently varies with the change of thermal conductivity and diffusivity of the soap film. Therefore, the temperature characteristics could be utilized to evaluate both the thermal conductivity and diffusivity using the Gauss–Newton method.
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ISSN:0195-928X
1572-9567
DOI:10.1007/s10765-015-1987-z